Once the kittens are moving out of the box I would not let your dog be with them unattended, she can hurt them just because of her size. They look to be all shorthairs to me, super cute. Glad you got your other cats fixed, mom might go into heat pretty soon so be very careful with her. She will try to get out just as badly as before.
If your dog is gentle with the kittens and you trust her, it sounds okay under supervision. In many households dogs and cats get along quite nicely. Just be cautious!